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Abelian subalgebras in Z2-graded Lie algebras and affine Weyl groups

Paola Cellini, Pierluigi Moseneder Frajria, Paolo Papi

math.RTarXiv:math/0311406

Abstract

Let g=g0+ g1 be a simple Z2-graded Lie algebra and let b0 be a fixed Borel subalgebra of g0. We describe and enumerate the abelian b0-stable subalgebras of g1.

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